On Algebro-Geometric Solutions of the Camassa-Holm Hierarchy

DOI10.1515/ans-2007-0303zbMath1132.37026OpenAlexW2510578873MaRDI QIDQ5426660

Luca Zampogni

Publication date: 13 November 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0303

zbMATH Keywords

Sturm-Liouville operatorinverse spectral problemCamassa-Holm equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (8)

Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform ⋮ The Sturm-Liouville Hierarchy of Evolution Equations II ⋮ Description of the algebro-geometric Sturm-Liouville coefficients ⋮ Theta function solutions for two discrete equations ⋮ Quasiperiodic Wave Solutions of Supersymmetric KdV Equation in Superspace ⋮ On the Camassa-Holm and K-dV hierarchies ⋮ The Sturm-Liouville Hierarchy of Evolution Equations ⋮ Some remarks concerning the scattering theory for the Sturm-Liouville operator

Cites Work

• Algebro-geometric solutions of the Camassa-Holm hierarchy
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type

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